k-holomorphic functions in spaces of several complex variables

In this paper, we define k-holomorphic functions in and study their properties. We obtain some conclusions parallel to the properties of holomorphic functions, such as Cauchy integral theorem, Cauchy integral formula of k-holomorphic functions in and mean value theorem. k-holomorphic functions are e...

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Published inComplex variables and elliptic equations Vol. 65; no. 11; pp. 1826 - 1845
Main Authors Qiao, Yuying, Cui, Yanyan, Li, Zunfeng, Wang, Liping
Format Journal Article
LanguageEnglish
Published Colchester Taylor & Francis 01.11.2020
Taylor & Francis Ltd
Subjects
Analytic functions
Cauchy integral formula
Cauchy integral theorem
Complex variables
Computational fluid dynamics
Differential calculus
Fluid flow
H. Liu
Hydrodynamics
Integrals
k-holomorphic functions
Mathematical analysis
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Summary:In this paper, we define k-holomorphic functions in and study their properties. We obtain some conclusions parallel to the properties of holomorphic functions, such as Cauchy integral theorem, Cauchy integral formula of k-holomorphic functions in and mean value theorem. k-holomorphic functions are expansions of holomorphic functions. The properties of k-holomorphic functions are not only wider used in other fields of mathematics but also are important tools to study other subjects, such as elastic dynamics, hydrodynamics and physics.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:1747-6933
1747-6941
DOI:10.1080/17476933.2019.1681417